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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2005; 42(4): 749-759

Printed July 1, 2005

Copyright © The Korean Mathematical Society.

Positive periodic solutions of systems of functional differential equations

Youssef N. Raffoul

University of Dayton

Abstract

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We apply a cone theoretic fixed point theorem and obtain conditions for the existence of positive periodic solutions of the system of functional differential equations $$ x'(t) = A(t)x(t) + \lambda f(t, x(t-\tau(t)). $$

Keywords: cone theory, functional differential equations, positive periodic solution

MSC numbers: 34K13, 34B20

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